Background Subtraction and Image Denoising (BSID) R package

Example bsid package in R

creating M matrix

M matrix 만들기 creat_vm()

creat_vm(path="./example_data/airport_sub/")
M <- bsid_env$M

\(M\) 확인하기 save_anipic()

save_anipic(M, save.name="airport_sub_M")

PCP algorithm

Principal Component Pursuit algorithm 를 이용하여 L, S matrix 만들기 PCP()

PCP(M)
L <- bsid_env$L
S <- bsid_env$S

\(L, S\) 확인하기

save_anipic(L, save.name="airport_sub_L")
save_anipic(S, save.name="airport_sub_S")

\(L\) matrix

\(S\) matrix

M matrix 에 PWNPoint type White Noise 추가하기

임의위치의 픽셀값을 1로 부여하여 잡음을 추가 WN_point()

WN_point(M)
Mstar <- bsid_env$Mstar

\(M^\star\) 확인하기

save_anipic(Mstar, save.name="airport_sub_Mstar")

Mstar PCP

PCP(Mstar)
Lstar <- bsid_env$L
Sstar <- bsid_env$S

save_anipic(Lstar, save.name="airport_sub_Lstar")
save_anipic(Sstar, save.name="airport_sub_Sstar")

\(L^\star\) 확인하기

\(S^\star\) 확인하기

Image Denoising

\(M^\prime\) 만들기 (method=“median_filter”)

denoising(Mstar, method="median_filter", W0=1, lambda=0.3)
Mprime <- bsid_env$prime

save_anipic(Mprime, save.name="airport_sub_Mprime")

\(M^\prime\) 확인하기

\(S^\prime\) 만들기 (method=“median_filter”)

denoising(Sstar, method="median_filter", W0=1, lambda=0.3)
Sprime <- bsid_env$prime

save_anipic(Sprime, save.name="airport_sub_Sprime")

\(S^\prime\) 확인하기

\(S^\prime + L^\star\) 확인하기

Mpprime <- Sprime + Lstar

save_anipic(Mpprime, save.name="airport_sub_Mpprime")

MSE compare

\[\mid\mid{M-M^{\prime}}\mid\mid_{F}\]

norm(M-Mprime, type="F")
## [1] 96.96882

\[\mid\mid{M-(S^{\prime} + L^{\star})}\mid\mid_{F}\]

norm(M-Mpprime, type="F")
## [1] 47.07536

\[\mid\mid{M-M^{\prime}}\mid\mid_{F} \ \ge\ \mid\mid{M-(S^{\prime} + L^{\star})}\mid\mid_{F}\]

bsid package (in R) Maintainer

Song HyoJin